A car enthusiast is interested in the relationship between the miles per gallon (MPG) and the horsepower of cars. He takes a sample of 16 different models and makes of cars and records each car's MPG ("MPG") as stated by the manufacturer and horsepower ("hp"). This data is shown in the two vectors below. To use the data, copy and paste the following lines into your R or RStudio console. hp=c(245,180, 110,215,110,175,110,215,93,175,110,110, 109,110,109,180); MPG=c(14.3,17.3,21,10.4,21,19.7,21, 10.4,22.8,19.2,21.4,21,21.4,21.4,21.4,16.4); a. Compute the correlation between MPG and horsepower. Answer: # Round to at least five decimals if necessary b. State the regression equation used to express the MPG (Y) as a linear function of horsepower (X). Report all decimals printed by R. Y = c. Which is the correct interpretation of / in the above regression equation? A. The miles per gallon for a car with a horsepower of 0 is, on average, B. As horsepower increases by 1 unit, MPG decreases on average by /, units C. As horsepower increases by 1 unit, MPG decreases by /, units D. The horsepower for a car with 0 MPG is, on average, /, D. The horsepower for a car With U MPG Is, on average, PI E. As horsepower increases by /j units, the MPG decreases on average by 1 unit OF. As horsepower increases by #, units, the MPG decreases by 1 unit d. The coefficient of determination tells us that % of the variation in | ? : is explained by its linear relationship with (? * . Round to at least five decimals if necessary e. Consider the fourth car in the dataset, which is a car that has a horsepower of 215 and a MPG of 10.4. Compute the residual for this car. ## Round to at least five decimals if necessary preview answers